// Numbas version: exam_results_page_options
{"name": "Junlei's copy of Worksheet 1(The time value of Money)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "variables": {"value2": {"definition": "{value}0.06/4", "templateType": "anything", "name": "value2", "description": "", "group": "Ungrouped variables"}, "n": {"definition": "log({value5}/{value4})/log(1+{int3}/100)", "templateType": "anything", "name": "n", "description": "", "group": "Ungrouped variables"}, "int6": {"definition": "(e^({int5}/100)-1)100", "templateType": "anything", "name": "int6", "description": "", "group": "Ungrouped variables"}, "int4": {"definition": "random(7..9#0.5)", "templateType": "randrange", "name": "int4", "description": "", "group": "Ungrouped variables"}, "int1": {"definition": "random(9..9.5#0.1)", "templateType": "randrange", "name": "int1", "description": "", "group": "Ungrouped variables"}, "value4": {"definition": "random(2000..3000#500)", "templateType": "randrange", "name": "value4", "description": "", "group": "Ungrouped variables"}, "interest1": {"definition": "{intdec}36500/360", "templateType": "anything", "name": "interest1", "description": "", "group": "Ungrouped variables"}, "value3": {"definition": "random(1000..1500#50)", "templateType": "randrange", "name": "value3", "description": "", "group": "Ungrouped variables"}, "int": {"definition": "6", "templateType": "number", "name": "int", "description": "", "group": "Ungrouped variables"}, "amount": {"definition": "{value3}*(1+(133/365)({int2}/100))", "templateType": "anything", "name": "amount", "description": "", "group": "Ungrouped variables"}, "value5": {"definition": "{value4}+1000", "templateType": "anything", "name": "value5", "description": "", "group": "Ungrouped variables"}, "value1": {"definition": "random(7000..9000#500)", "templateType": "randrange", "name": "value1", "description": "", "group": "Ungrouped variables"}, "years": {"definition": "random(11..15#1)", "templateType": "randrange", "name": "years", "description": "", "group": "Ungrouped variables"}, "value6": {"definition": "random(6500..7000#100)", "templateType": "randrange", "name": "value6", "description": "", "group": "Ungrouped variables"}, "int2": {"definition": "random(9..10#0.5)", "templateType": "randrange", "name": "int2", "description": "", "group": "Ungrouped variables"}, "month": {"definition": "4", "templateType": "number", "name": "month", "description": "", "group": "Ungrouped variables"}, "intdec": {"definition": "{int1}/100", "templateType": "anything", "name": "intdec", "description": "", "group": "Ungrouped variables"}, "value": {"definition": "random(4000..6000#500)", "templateType": "randrange", "name": "value", "description": "", "group": "Ungrouped variables"}, "year": {"definition": "{value6}/(1+{int4}/100)^{years}", "templateType": "anything", "name": "year", "description": "", "group": "Ungrouped variables"}, "int5": {"definition": "random(5..6#0.1)", "templateType": "randrange", "name": "int5", "description": "", "group": "Ungrouped variables"}, "int3": {"definition": "random(10..12#1)", "templateType": "randrange", "name": "int3", "description": "", "group": "Ungrouped variables"}, "interest": {"definition": "({value1}-{value})6/{value}", "templateType": "anything", "name": "interest", "description": "", "group": "Ungrouped variables"}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "variable_groups": [], "type": "question", "extensions": [], "rulesets": {}, "preamble": {"css": "", "js": ""}, "name": "Junlei's copy of Worksheet 1(The time value of Money)", "ungrouped_variables": ["value", "value1", "interest", "month", "value2", "int", "int1", "interest1", "intdec", "value3", "int2", "amount", "value4", "value5", "int3", "n", "value6", "int4", "years", "year", "int5", "int6"], "statement": "<p></p>\n<p></p>", "tags": [], "parts": [{"prompt": "<p>Suppose a loan of&nbsp;&pound;{value} is to be repaid by the amount of&nbsp;&pound;{value1} at the end of two months. What is the annual rate of simple interest,i in %?&nbsp;</p>\n<p>[[0]]%</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "scripts": {}, "showCorrectAnswer": true, "gaps": [{"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{interest}-0.1", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "{interest}+0.1", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "type": "gapfill"}, {"prompt": "<p>How long does it take for&nbsp;&pound;{value} to earn&nbsp;&pound;{value2} at {int}% p.a simple interest? Answer in %</p>\n<p>[[0]]%</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "scripts": {}, "showCorrectAnswer": true, "gaps": [{"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{month}", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "{month}", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "type": "gapfill"}, {"prompt": "<p>The yield on a deposit is {int1}% on the ACT/360 basis. What is the equivalent yield on an ACT/365 basis? Answer in %</p>\n<p>[[0]]%</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "scripts": {}, "showCorrectAnswer": true, "gaps": [{"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{interest1}", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "{interest1}", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "type": "gapfill"}, {"prompt": "<p>&pound;{value3} is deposited with a bank on 10 May 2014 and withdrawn at the same time of the day on 20 september 2014. Find the accumulated value if the interest rate is {int2}% simple interest.</p>\n<p>&pound;[[0]]</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "scripts": {}, "showCorrectAnswer": true, "gaps": [{"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{amount}-1", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "{amount}+1", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "type": "gapfill"}, {"prompt": "<p>How long will it take for &pound;{value4} to accumulate to &pound;{value5} at {int3}% p.a? [[0]] Years</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "scripts": {}, "showCorrectAnswer": true, "gaps": [{"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{n}", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "{n}", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "type": "gapfill"}, {"prompt": "<p>A necklace is appraised at&nbsp;&pound;{value6}. If the value of the necklace has increased at an annual rate of {int4}%, how much was it worth {years} years ago?&nbsp;</p>\n<p>&pound;&nbsp;[[0]]</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "scripts": {}, "showCorrectAnswer": true, "gaps": [{"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{year}", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "{year}", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "type": "gapfill"}, {"prompt": "<p>Suppose, force of interest,&nbsp;&delta; = {int5}%. What is the effective annual rate of interest? Answer in %.&nbsp;</p>\n<p>[[0]]%</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "scripts": {}, "showCorrectAnswer": true, "gaps": [{"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{int6}", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "{int6}", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "type": "gapfill"}, {"prompt": "<p>If a fund of&nbsp;&pound;1 accumulates at a force of&nbsp;&delta;(t)=0.02t, find the accumulated amount over 2 years as well as the annual effective rate of interest.</p>\n<p>Accumulated amount:[[0]]</p>\n<p>interest rate in %:[[1]]%</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "scripts": {}, "showCorrectAnswer": true, "gaps": [{"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "1.0408", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "1.0408", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}, {"customMarkingAlgorithm": "", "mustBeReduced": false, "allowFractions": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "2.02", "mustBeReducedPC": 0, "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 1, "maxValue": "2.02", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"]}], "unitTests": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "type": "gapfill"}], "advice": "<p>$1+i=(1+\\frac{i^{(p)}}{p})^p$</p>\n<p>$1+i=e^{\\delta }$</p>\n<p>$v_{i}=\\frac{1}{1+i}=e^{-\\delta }$</p>\n<p>$d=1-v_{i}$</p>\n<p>$A(n)=1+in$</p>\n<p>$A(n)={(1+i)}^n$</p>\n<p>$A(n)=(1+\\frac{i^{(p)}}{p})^{pn}$</p>\n<p>$A(n)=e^{{\\delta}n}$</p>\n<p>$A(n)=e^{\\int_{0}^{n}\\delta (t) dt)}$</p>\n<p>$1+i_M=(1+i_R)(1+q)$</p>", "contributors": [{"name": "Swa Lup", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2902/"}, {"name": "Junlei Hu", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3534/"}]}]}], "contributors": [{"name": "Swa Lup", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2902/"}, {"name": "Junlei Hu", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3534/"}]}